In 30 years, Andy plans on setting up a fellowship fund for his wife's school that pays out $100, 000 per year in perpetuity with an annually compounded discount rate of 5%. In order to set up the fund in 30 years, how much does Andy need to save each year (starting this year) assuming he can get a semi-annually compounded return of 10% per annum on his savings for the next 30 years?